GCD of 429, 159, 377, 748 Calculator

Given Input numbers are 429, 159, 377, 748

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 429, 159, 377, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 159, 377, 748 is 1.

Therefore, GCD of numbers 429, 159, 377, 748 is 1

Given Input Data is 429, 159, 377, 748

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 159 is 3 x 53

Prime Factorization of 377 is 13 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(429, 159) = 22737

GCD(429, 159) = ( 429 x 159 ) / 22737

GCD(429, 159) = 68211 / 22737

GCD(429, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 377

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 377) = 1131

GCD(3, 377) = ( 3 x 377 ) / 1131

GCD(3, 377) = 1131 / 1131

GCD(3, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 429, 159, 377, 748 is 1

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1. What is the GCD of 429, 159, 377, 748?

GCD of 429, 159, 377, 748 is 1

2. Where do I get the detailed procedure to find GCD of 429, 159, 377, 748?

You can find a detailed procedure to find GCD of 429, 159, 377, 748 on our page.

3. How to find GCD of 429, 159, 377, 748 on a calculator?

You can find the GCD of 429, 159, 377, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.